Jane is collecting data for a ball rolling down a hill. She measures out a set of different distances and then proceeds to use a stop watch to find the time it takes the ball to roll. What are the independent, dependent, and control variables in this experiment?

Answer:

i think the fourth one is equvilent ratio

Step-by-step explanation:

Answer:

a = 1, b = -2, c = -3

Step-by-step explanation:

The equation in factored form shows the roots with the "r" and "s" variables. Note that they are written negative "r" and negative "s" in the formula.

y = a(x - r)(x - s)

The vertex is always halfway between the two roots.

<------[root]--------[vertex]--------[root]---->

The vertex is at x = 1, and one root is at x = 3. The other root is at x = -1.

Write the equation in factored form to show the two roots.

y = a(x - 3)(x + 1)

Substitute the vertex (1, -4) into the equation. The point is written (x, y).

-4 = a(1 - 3)(1 + 1)

Solve for "a".

-4 = a(-2)(2)      Simplify within the brackets

-4 = -4a          Multiply -2 and 2. Divide both sides by -4

a = 1             Solved for "a" (and kept the variable on the left side).

Substitute a = 1 back into the formula.

y = a(x - 3)(x + 1)

y = 1(x - 3)(x + 1)

We don't have to write multiplied by 1 though, because anything multiplied by 1 is itself.

y = (x - 3)(x + 1)

Since we are looking for "a", "b", and "c", find the equation in standard form.

y = ax² + bx + c

To change factored form into standard form, expand the brackets.

y = (x - 3)(x + 1)

y = x² + x - 3x - 3

y = x² - 2x - 3

Compare the expanded equation to y = ax² + bx + c

∴ a = 1, b = -2, c = -3

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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Answer:

That is incorrect because ten you are multiplying the two sets then the exponents just add but but when you put the brackets around it then the exponents are being multiplied not added

Step-by-step explanation:

(xy)^3 * (xy)^4

x^3y^3*x^4y^4

x^7y^7

The rest of the explanation is in the picture

9514 1404 393

Answer:

  D.  6

Step-by-step explanation:

The height of the larger cylinder is 15/5 = 3 times the height of the smaller one. Because the cylinders are similar, you know that the radius of the larger one will have the same multiplier of the radius of the smaller one.

The larger radius is 3 × 2 = 6.

Answer:

y = 2x+1

Step-by-step explanation:

\(2y =4x+8\\\\ Write \:in \: y =mx+b \:form\\\\\frac{2y}{2} = \frac{4x}{2} +\frac{8}{2} \\\\y =2x +4\\m =2\\(1,3) =(x_1,y_1)\\Substitute\:values\:into\:point-slope\:form\\\\y-y_1=m(x-x_1)\\y-3=2(x-1)\\y-3 = 2x-2\\y=2x-2+3\\y =2x+1\)

Step-by-step explanation:

Hey, there!!

Here, the given point is (1,3).

Now, Using one point formula we need to find the equation of the line passing through point (1,3).

Now,

\((y - y1) = m1(x - x1)\)

Keeping values,

\((y - 3) = m1(x - 1)\)

It is the 1st equation.

Similary, you have another equation,

2y = 4x + 8..............2nd equation.

or, 4x - 2y +8 =0

M2 from equation 2,

\( = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} \)

\( = \frac{ - 4}{ - 2} \)

Therefore, m2 = 2

Now,

As per the condition of parallel lines,

m1 = m2 = 2

Now, substituting the value of m1 in equation 1st.

(y-3) = 2 (x-1)

y-3 = 2x - 2

or, 2x-y+1 = 0 ......is the required equation.

Hope it helps...

The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.

Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.

According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:

x + y = 191   ...(1)

The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:

y = x - 47   ...(2)

To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:

x + (x - 47) = 191

Simplifying the equation:

2x - 47 = 191

2x = 191 + 47

2x = 238

Dividing both sides by 2:

x = 238/2

x = 119

Substituting the value of x back into equation (2):

y = 119 - 47

y = 72

As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.

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Answer:

\(m=3\)

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in the 2 coordinates into the slope formula to find slope m:

\(m=\frac{5-2}{4-3}\)

\(m=\frac{3}{1}\)

\(m=3\)

The ratio of the length of BC to the length of DE is 1/2.

Arc length is defined as the distance between any two points on a section of a circle or curve.

The figure in the question is given below.

The formula to find the length of an arc is given as,

Arc length, l = rθ, where r is the radius and θ is the central angle in radians.

Given that,

Central angle for arc BC, θ = 1.18 radians.

Radius for arc BC, r = AC = AB

Arc length of BC = rθ

                            = 1.18 (AB)

Central angle for arc DE, θ = 1.18 + 2.36 = 3.54 radians

Radius for arc DE, r = AE = AD = 2/3 AB

Arc length of DE = rθ

                            = 3.54 × (2/3) AB

                            = 2.36 (AB)

Arc length of BC / Arc length of DE = 1.18 (AB) / 2.36 (AB) = 1/2

Hence the ratio of BC to DE is 1/2.

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Answer:

DE: 3/4

Step-by-step explanation:

PlatoGang

Answer:

probability is one for the position of the fourth vertex

it's co ordinates will be (2,2)

Answer:

A

Step-by-step explanation:

The month of June has  40 sweets

Let the number of sweets in the month of June be  P

Given that April,  May and June collectively have 90 sweets

Given that May has three quarters of number of sweets as that of June

So we can write

\(\rm Number\; of \; sweets\; in \; May = \dfrac{3P}{4 } .......(1) \\\)

Similarly it is given that April has two third of sweets as that of May month and hence we can write

\(\rm Number\; of\; sweets \; in \; April = \dfrac{2}{3} \times \dfrac{3P}{4} = P/2 ......(2)\\\)

As the total number of sweets in  April,  May and June is  90

Let the number of sweets in  May be "M" and in April be "A"

We can write the following equation and solve it further

\(\rm M + A + P = 90\\From \;equations \; (1) \; and \; (2) \\\)

\(\rm P + 3P/4 + P/2= 90\\\\2.25 \; P = 90\\P = 40\)

So we can conclude that the month of June has  40 sweets

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The option that is true with regard to the following functions is Option B. "The domain g(x) and h(x) include all real number while the domain of i(x) and h(x) are restricted"

Let us take a closer look at f(x) = 3x + 14. This paritcular function is definitive of a straight-line which can be seen clearly in the attached graph for function 1. Additionally, it does not hold any end points, meaning it is an Asymptote.

Next, if we observe h(x) = 3ˣ + 1, this reflects upon an exponential graph. Just like the visualized equation above it lacks a conclusive terminus; however, it has an asymptote: y = 0.

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Answer:

ambiguous question dear!!

Step-by-step explanation:

Using the Central Limit Theorem, the false statement is given by:

B. \(\mu\) is the sample mean. It is used to estimate the population mean.

It states that, for a normally distributed random variable X, with population mean \(\mu\) and population standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard error \(s_E = \frac{\sigma}{\sqrt{n}}\).

If we have the standard deviation for the sample s, the Central Limit Theorem can also be applied.

The sample mean is given by \(\overline{x}\), hence option B is false.

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Answer:

48,236.7

Step-by-step explanation:

40,000 + 8,000 + 200 + 30 + 6 + 7/10

7/10 can also be written .7

Answer:

working on a answer one second

Step-by-step explanation:

The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

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The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we  two by the product of a number and 7, the result is at most -29 if the number is -31/7.

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Answer:

Step-by-step explanation:

i think if its -10 degrees i think the fahrenheit would be 50 degrees

The width cannot be negative, the width of the walkway is 6 feet. The total area of the garden and the walkway is given as 648 square feet. We know the area of the garden is length multiplied by width, which in this case is 12 feet by 15 feet, so the garden area is\(12 \times 15 = 180\) square feet.

To find the area of the walkway, we subtract the garden area from the total area. Therefore, the area of the walkway is 648 - 180 = 468 square feet.

The walkway surrounds the garden on all sides, so its length and width will be greater than the corresponding dimensions of the garden.

To calculate the width of the walkway, we can use the formula for the area of a rectangle, which is length multiplied by width. In this case, the length is 12 + 2x (twice the width of the walkway) and the width is 15 + 2x.

So, we have the equation\((12 + 2x) \times (15 + 2x) = 468\).

Expanding and rearranging the equation, we get\(4x^2 + 54x - 228 = 0.\)

Solving this quadratic equation using factoring, completing the square, or the quadratic formula, we find that x = 6 or x = -9/2.

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4.3659392

hope this helps

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

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Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

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Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS

1 mile per every 15 minutes

or 4 mph

Answer:

Step-by-step explanation:

Jeremy

Pay = 800

Time = 40 hours

Per hour pay= 800/40 = 20 dollars per hour.

Beth

Pay = 700

Time = 30 hours

Per hour Pay= 700 / 30 = 23.33

The answer is C. She gets 23.33 which is 3.33 more than her brother makes.

Answer:

a)

Step-by-step explanation:

Everytime we divide, subtract, add, or multiply, we do it to BOTH sides to make sure they are still equal. a) is clearly correct because adding 4 to both sides results in 6p = 18, which we can figure out quickly that p = 3, buy dividing both sides by 6.

Answer:

6p-4=14

6p=14+4

6p=18

p=18/6

p=3

Answer:

4,7 is the one not equalivent to the others.

Step-by-step explanation:

All of the y values in the ratios have a gcf of 12. 7 Is not divisible by 12, let alone 9.

Hewo There! my name is Neko and I'll be helping you today! ;-)

Question:

Several ratios are graphed below. Which ratio is not equivalent to the others?

Answer:

The ratio of 4 to 7 is not equivalent to others.

Step-by-step explanation:

Hence (4, 7) is not equivalent to (2, 3), (6, 9), and (8, 12)

I hope this helps you!

Have an Amazing Friday!

-Neko-